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UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS
General Certificate of Education Advanced Level
* 1 9 5 2 2 8 5 4 9 1 *
9702/53
PHYSICS
Paper 5 Planning, Analysis and Evaluation
October/November 2013
1 hour 15 minutes
Candidates answer on the Question Paper.
No Additional Materials are required.
READ THESE INSTRUCTIONS FIRST
Write your Centre number, candidate number and name on all the work you hand in.
Write in dark blue or black pen.
You may use a pencil for any diagrams, graphs or rough working.
Do not use staples, paper clips, highlighters, glue or correction fluid.
DO NOT WRITE IN ANY BARCODES.
Answer all questions.
Electronic calculators may be used.
You may lose marks if you do not show your working or if you do not use appropriate units.
At the end of the examination, fasten all your work securely together.
The number of marks is given in brackets [ ] at the end of each question or part question.
This document consists of 8 printed pages.
DC (KN/CGW) 64673/2
© UCLES 2013
[Turn over
2
1
A student is investigating how the resistance R of nichrome in the form of a wire varies with
temperature θ.
It is suggested that
R = R0(1 + aθ)
where R0 is the resistance at 0 °C, a is a constant and θ is the temperature measured in °C.
Design a laboratory experiment to test the relationship between θ and R and determine
the value of a. You should draw a diagram, on page 3, showing the arrangement of your
equipment. In your account you should pay particular attention to
(a) the procedure to be followed,
(b) the measurements to be taken,
(c) the control of variables,
(d) the analysis of the data,
(e) the safety precautions to be taken.
[15]
© UCLES 2013
9702/53/O/N/13
For
Examiner’s
Use
3
Diagram
For
Examiner’s
Use
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© UCLES 2013
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For
Examiner’s
Use
© UCLES 2013
Defining the
problem
Methods of
data collection
Method of
analysis
9702/53/O/N/13
Safety
considerations
Additional
detail
For
Examiner’s
Use
5
2
A student is investigating the stopping distance for a motorcycle with high-performance
brakes. A motorcyclist riding and stopping a motorcycle on a test track is recorded on film.
For
Examiner’s
Use
v
Fig. 2.1
The stopping distance d is measured for different speeds v.
Question 2 continues on the next page.
© UCLES 2013
9702/53/O/N/13
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6
It is suggested that v and d are related by the equation
d=
2
v
+ vt
2a
where a is the deceleration of the motorcycle and t is the thinking time of the rider.
d
on the y-axis against v on the x-axis. Determine expressions for
v
the gradient and y-intercept in terms of a and t.
(a) A graph is plotted of
gradient = .....................................................
y-intercept = ......................................................
[1]
(b) Values of v and d are given in Fig. 2.2.
v / m s–1
d/m
10 ± 1
13.0 ± 0.5
15 ± 1
24.5 ± 0.5
20 ± 1
39.5 ± 0.5
25 ± 1
57.5 ± 0.5
30 ± 1
79.0 ± 0.5
35 ± 1
103.0 ± 0.5
Fig. 2.2
Calculate and record values of
(c) (i)
d
d
/ s in Fig. 2.2. Include the absolute uncertainties in .
v
v
[3]
d
d
/ s against v / m s–1. Include error bars for . Do not include
v
v
horizontal error bars for v.
[2]
Plot a graph of
(ii)
Draw the straight line of best fit and a worst acceptable straight line on your graph.
Both lines should be clearly labelled.
[2]
(iii)
Determine the gradient of the line of best fit. Include the uncertainty in your answer.
gradient = ................................................ [2]
© UCLES 2013
9702/53/O/N/13
For
Examiner’s
Use
7
3.2
d
/s
v
For
Examiner’s
Use
3.0
2.8
2.6
2.4
2.2
2.0
1.8
1.6
1.4
1.2
1.0
5
10
15
20
25
30
35
40
v / m s–1
© UCLES 2013
9702/53/O/N/13
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(iv)
Determine the y-intercept of the line of best fit. Include the uncertainty in your
answer.
For
Examiner’s
Use
y-intercept = ............................................... [2]
(d) (i)
Using your answers to (c)(iii) and (c)(iv), determine values for a and t. Include an
appropriate unit for each value.
a = .....................................................
t = .....................................................
[2]
(ii)
Using your answers to (c)(iii) and (c)(iv), determine the percentage uncertainty in
a and t.
percentage uncertainty in a = .................................................. %
percentage uncertainty in t = .................................................. %
[1]
Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every
reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the
publisher will be pleased to make amends at the earliest possible opportunity.
University of Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of
Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge.
© UCLES 2013
9702/53/O/N/13